21258466166007 has 32 divisors (see below), whose sum is σ = 37154240245760. Its totient is φ = 11755833821280.

The previous prime is 21258466165991. The next prime is 21258466166009. The reversal of 21258466166007 is 70066166485212.

21258466166007 is a `hidden beast` number, since 2 + 1 + 25 + 8 + 4 + 6 + 6 + 1 + 6 + 600 + 7 = 666.

It is not a de Polignac number, because 21258466166007 - 2⁴ = 21258466165991 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21258466166009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1814166028 + ... + 1814177745.

It is an arithmetic number, because the mean of its divisors is an integer number (1161070007680).

Almost surely, 2^{21258466166007} is an apocalyptic number.

21258466166007 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

21258466166007 is a deficient number, since it is larger than the sum of its proper divisors (15895774079753).

21258466166007 is a wasteful number, since it uses less digits than its factorization.

21258466166007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628343820 (or 3628343814 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 21258466166007 in words is "twenty-one trillion, two hundred fifty-eight billion, four hundred sixty-six million, one hundred sixty-six thousand, seven".